Results 31 to 40 of about 14,246,372 (112)
Quantum Dynamical Semigroups and Decoherence
Advances in Mathematical Physics, Volume 2011, Issue 1, 2011., 2011 We prove a version of the Jacobs‐de Leeuw‐Glicksberg splitting theorem for weak* continuous one‐parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003).
Mario Hellmich, Christian Maes
wiley +1 more source
Paratopological and semitopological groups versus topological groups
Topology and its Applications, 2005 A group \(G\) with a topology is called a \textit{semitopological group} if the multiplication is separately continuous, and \(G\) is called a \textit{paratopological group} if the multiplication is jointly continuous. Clearly, every topological group is paratopological group and semitopological group.
Arhangel'skii, A.V., Reznichenko, E.A.
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International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 Several new characterizations of strongly irresolvable topological spaces are found and precise relationships are noted between strong irresolvability, hereditary irresolvability, and submaximality. It is noted that strong irresolvablity is a faint topological property, while neither hereditary irresolvablity nor submaximality are semitopological.
David Rose, Kari Sizemore, Ben Thurston
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Multipliers on L(S), L(S)**, and LUC(S)* for a locally compact topological semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 6, Page 355-359, 2002., 2002 We study compact and weakly compact multipliers on L(S), L(S)**, and LUC(S)*, where the latter is the dual of LUC(S). We show that a left cancellative semigroup S is left amenable if and only if there is a nonzero compact (or weakly compact) multiplier on L(S)**. We also prove that S is left amenable if and only if there is a nonzero compact (or weakly
Alireza Medghalchi
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The diagonal of a first countable paratopological group, submetrizability, and related results
Applied General Topology, 2007 We discuss some properties stronger than Gδ-diagonal. Among other things, we prove that any first countable paratopological group has a Gδ-diagonal of infinite rank and hence also a regular Gδ-diagonal.
A.V. Arhangelskii, Angelo Bella
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On Semitopological Bicyclic Extensions of Linearly Ordered Groups [PDF]
Journal of Mathematical Sciences, 2019 For a linearly ordered group $G$ let us define a subset $A\subseteq G$ to be a \emph{shift-set} if for any $x,y,z\in A$ with $y < x$ we get $x\cdot y^{-1}\cdot z\in A$. We describe the natural partial order and solutions of equations on the semigroup $\mathscr{B}(A)$ of shifts of positive cones of $A$.
Gutik, Oleg, Maksymyk, Kateryna
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Recapturing semigroup compactifications of a group from those of its closed normal subgroups
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 1, Page 37-43, 2000., 2000 We know that if S is a subsemigroup of a semitopological semigroup T, and 𝔉 stands for one of the spaces 𝒜𝒫, 𝒲𝒜𝒫, 𝒮𝒜𝒫, 𝒟 or ℒ𝒞, and (ϵ, T𝔉) denotes the canonical 𝔉‐compactification of T, where T has the property that 𝔉(S)=𝔉(T)|s, then (ϵ|s,ϵ(S)¯) is an 𝔉‐compactification of S.
M. R. Miri, M. A. Pourabdollah
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The universal semilattice compactification of a semigroup
International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 85-89, 1999., 1999 The universal abelian, band, and semilattice compactifications of a semitopological semigroup are characterized in terms of three function algebras. Some relationships among these function algebras and some well‐known ones, from the universal compactification point of view, are also discussed.
H. R. Ebrahimi Vishki +1 more
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Shift invariant preduals of ℓ1(ℤ) [PDF]
, 2011 The Banach space ℓ<sub>1</sub>(ℤ) admits many non-isomorphic preduals, for example, C(K) for any compact countable space K, along with many more exotic Banach spaces.
Daws, M. +3 more
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A characterization of point semiuniformities
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 311-316, 1996., 1996 The concept of a uniformity was developed by A. Well and there have been several generalizations. This paper defines a point semiuniformity and gives necessary and sufficient conditions for a topological space to be point semiuniformizable. In addition, just as uniformities are associated with topological groups, a point semiuniformity is naturally ...
Jennifer P. Montgomery
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